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20142026
most citedSelf-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

126 citations · 403 across the 35 of their papers we have counts for

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Showing 2024Show all

5 papers · 1 filter

cs.LG2024

Generalized Resubstitution for Regression Error Estimation

Diego Marcondes, Ulisses Braga-Neto

We propose generalized resubstitution error estimators for regression, a broad family of estimators, each corresponding to a choice of empirical probability measures and loss funct…

cs.LG2024

DeepOSets: Non-Autoregressive In-Context Learning with Permutation-Invariance Inductive Bias

Shao-Ting Chiu, Junyuan Hong, Ulisses Braga-Neto

In-context learning (ICL) is the remarkable ability displayed by some machine learning models to learn from examples provided in a user prompt without any model parameter updates.…

cs.LG2024

Label Propagation for Physics-Informed Neural Networks and Physics-Informed Gaussian Processes

Ming Zhong, Dehao Liu, Raymundo Arroyave +1

We present a series of empirical results of the application of semi-supervised label propagation techniques in training physics-informed machine learning methods. This includes sel…

math.NA2024

Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter

Baoli Hao, Chun Liu, Ulisses Braga-Neto +2

Training physics-informed neural networks (PINNs) on stiff, time-dependent PDEs remains a fundamental challenge due to optimization instabilities and gradient pathologies. Through…

physics.flu-dyn2024★ 2 cited

Physics-Informed Neural Networks for Multi-Phase Flow in Porous Media Considering Dual Shocks and Interphase Solubility

Jingjing Zhang, Ulisses Braga-Neto, Eduardo Gildin

Physics-Informed Neural Networks (PINNs) integrate physical principles into machine learning, finding wide applications in various science and engineering fields. However, solving…